4 papers
Noncommutative Gauge Theory beyond the Canonical Case
Wolfgang Behr
In this thesis noncommutative gauge theory is extended beyond the canonical case, i.e. to structures where the commutator no longer is a constant. In the first part noncommutative…
Gauge Theory on Fuzzy S^2 x S^2 and Regularization on Noncommutative R^4
Wolfgang Behr, Frank Meyer, Harold Steinacker
We define U(n) gauge theory on fuzzy S^2_N x S^2_N as a multi-matrix model, which reduces to ordinary Yang-Mills theory on S^2 x S^2 in the commutative limit N -> infinity. The mod…
NC Wilson lines and the inverse Seiberg-Witten map for nondegenerate star products
Wolfgang Behr, Andreas Sykora
Open Wilson lines are known to be the observables of noncommutative gauge theory with Moyal-Weyl star product. We generalize these objects to more general star products. As an appl…
Construction of Gauge Theories on Curved Noncommutative Spacetime
Wolfgang Behr, Andreas Sykora
We present a method where derivations of star-product algebras are used to build covariant derivatives for noncommutative gauge theory. We write down a noncommutative action by lin…